76152320 has 80 divisors (see below), whose sum is σ = 184729248. Its totient is φ = 30105600.

The previous prime is 76152301. The next prime is 76152341. The reversal of 76152320 is 2325167.

76152320 = T₂₆₉ + T₂₇₀ + ... + T₇₈₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 76152320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386462 + ... + 386658.

Almost surely, 2^76152320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92364624).

76152320 is an abundant number, since it is smaller than the sum of its proper divisors (108576928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76152320 is a wasteful number, since it uses less digits than its factorization.

76152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 76152320 is about 8726.5296653366. The cubic root of 76152320 is about 423.8651523239.

Adding to 76152320 its reverse (2325167), we get a palindrome (78477487).

The spelling of 76152320 in words is "seventy-six million, one hundred fifty-two thousand, three hundred twenty".